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Finding the Third Proportional to 683,304.75 and 1,060,769.25

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Solution

The third proportional to 683,304.75 and 1,060,769.25 is: 1,646,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,304.75 : 1,060,769.25 = 1,060,769.25 : x
  2. Step 2: Convert to fraction form
    683,304.75/1,060,769.25 = 1,060,769.25/x
  3. Step 3: Cross multiply
    683,304.75x = 1,060,769.25 × 1,060,769.25
  4. Step 4: Simplify right side
    683,304.75x = 1,125,231,401,745.56
  5. Step 5: Solve for x
    x = 1,125,231,401,745.56/683,304.75
  6. Step 6: Final answer
    x = 1,646,748.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.